10. A set of data with a mean of 54 and a standard deviation of 5.9...

Question

Question

Answer 1

Answer #1

Population mean, µ = 54

Population standard deviation, σ = 5.9

Value that is 2 standard deviation below the mean:

X1 = µ + (-2)*σ = 54 + (-2)*5.9 = 42.2

Value that is 2 standard deviation above the mean:

X2 = µ + 2*σ = 54 + 2*5.9 = 65.8

Answer 2

Similar Homework Help Questions

A set of data values is normally distributed with a mean of 65 and standard deviation...

A set of data values is normally distributed with a mean of 65 and standard deviation of five. Determine the Z-score of 78. a. -1.12 b. 2.6 c. 1.12 d. -2.6
In a normally distributed data set with a mean of 22 and a standard deviation of...

In a normally distributed data set with a mean of 22 and a standard deviation of 4.1, what percentage of the data would be between 17.9 and 26.1? a)95% based on the Empirical Rule b)99.7% based on the Empirical Rule c)68% based on the Empirical Rule d)68% based on the histogram
Consider the following sample data with mean and standard deviation of 177 and 7.3, respectively. (You...

Consider the following sample data with mean and standard deviation of 177 and 7.3, respectively. (You may find it useful to reference the appropriate table: chi-square table or F table) class Frequency Less than 10 25 10 up to 20 20 up to 30 86 72 30 or more 20 n 203 a. Using the goodness-of-fit test for normality, specify the competing hypotheses in order to determine whether or not the data are normally distributed. OHo: The data are normally...

For bone density scores that are normally distributed with a mean of 0 and a standard deviation of 1

For bone density scores that are normally distributed with a mean of 0 and a standard deviation of 1, find the percentage of scores that are a. significantly high (or at least 2 standard deviations above the mean). b. significantly low (or at least 2 standard deviations below the mean). c. not significant (or less than 2 standard deviations away from the mean). a. The percentage of bone density scores that are significantly high is
questions from 10 to 19 Find the outlier in the set of data. 10. 15, 35,...

questions from 10 to 19 Find the outlier in the set of data. 10. 15, 35, 10, 22, 13, 18, 19, 14 11. The scores on an exam are normally distributed, with a nean of 81 and a standard deviation of 10. What percent of the scores are less than 917 12. A grocery store will only accept yellow onions that are at least 3.25 in. n diameter. A grower has a crop of onions with diameters that are normally...
Question 19 The mean of the data below is 44 and the standard deviation is 21.79...

Question 19 The mean of the data below is 44 and the standard deviation is 21.79 15 30 40 16 31 41 70 18 72 69 19 20 34 35 35 25 36 37 83 85 89 26 Match each of the following questions with the correct answer What percentage of this data falls within 1 standard deviation of the mean? What percentage of this data falls within 2 standard deviations of the mean? What percentage of this data falls...

standard deviation is 45.06 mean is 94.6129 the data set 31 students 10 19 35 39...

standard deviation is 45.06 mean is 94.6129 the data set 31 students 10 19 35 39 41 56 67 67 69 73 75 78 81 82 83 83 84 91 92 94 123 125 137 138 140 142 150 152 161 163 181 using the data set find the: a) midrange b) coefficient variation c) percent of scores in one and two standard deviations D) the z scores for the largest and smallest data values e) q1 and q3- give...
a researcher has a data set with a mean score of 45 and standard deviation of...

a researcher has a data set with a mean score of 45 and standard deviation of 15 . Assuming that the data set is normally distributed, the researcher would expect approximately 95% of the data to fall between a 35 and 55 b 30 and 60 c 40 and 50 my answer is c can some one draw the bell curve and show me step by step how this is done . thanks
Suppose a normally distributed set of data has a mean of 172 and a standard deviation...

Suppose a normally distributed set of data has a mean of 172 and a standard deviation of 15. Use the 68-95-99.7 rule to determine the percent of scores in the data set expected to be between the scores 142 and 187. Give your answer in decimal form and keep all decimal places throughout your calculations and in your final answer.

Suppose you have a data set and the mean, median and the standard deviation are 10,...

Suppose you have a data set and the mean, median and the standard deviation are 10, 10 and 2, respectively. Someone multiplies all your data points by 3. Call these data the new data. The mean of the new data will be _______________________ The Median of the new data will be _______________________ The standard deviation of the new will be _______________________ The variance of the new will be _______________________––